What is the Least Common Multiple of 99972 and 99981?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99972 and 99981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99972 and 99981, than apply into the LCM equation.

GCF(99972,99981) = 9
LCM(99972,99981) = ( 99972 × 99981) / 9
LCM(99972,99981) = 9995300532 / 9
LCM(99972,99981) = 1110588948

Least Common Multiple (LCM) of 99972 and 99981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99972 and 99981. First we will calculate the prime factors of 99972 and 99981.

Prime Factorization of 99972

Prime Factorization of 99981

Now multiplying the highest exponent prime factors to calculate the LCM of 99972 and 99981.

LCM(99972,99981) = 2² × 3³ × 2777¹ × 7¹ × 23²
LCM(99972,99981) = 1110588948